38581291195456 has 63 divisors (see below), whose sum is σ = 77254508937333. Its totient is φ = 19117149219840.

The previous prime is 38581291195423. The next prime is 38581291195457. The reversal of 38581291195456 is 65459119218583.

The square root of 38581291195456 is 6211384.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 679833230400 + 37901457965056 = 824520^2 + 6156416^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 38581291195391 and 38581291195400.

It is not an unprimeable number, because it can be changed into a prime (38581291195457) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 5615087701 + ... + 5615094571.

Almost surely, 2^{38581291195456} is an apocalyptic number.

38581291195456 is the 6211384-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38581291195456

38581291195456 is an abundant number, since it is smaller than the sum of its proper divisors (38673217741877).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

38581291195456 is an frugal number, since it uses more digits than its factorization.

38581291195456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13980 (or 6986 counting only the distinct ones).

The product of its digits is 93312000, while the sum is 67.

The spelling of 38581291195456 in words is "thirty-eight trillion, five hundred eighty-one billion, two hundred ninety-one million, one hundred ninety-five thousand, four hundred fifty-six".